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Finding the Fourth Proportional to 596.74, 892.81 and 413.58

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Solution

The fourth proportional to 596.74, 892.81 and 413.58 is: 618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.74 : 892.81 = 413.58 : x
  2. Step 2: Convert to fraction form
    596.74/892.81 = 413.58/x
  3. Step 3: Cross multiply
    596.74x = 892.81 × 413.58
  4. Step 4: Simplify right side
    596.74x = 369,248.36
  5. Step 5: Solve for x
    x = 369,248.36/596.74
  6. Step 6: Final answer
    x = 618.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.